Originally Posted by

**capea** hi everyone somebody knows to calculate the following residue of

$\displaystyle e^{-x z} \left(\text{Log}\left[\frac{1}{z}\right]\right)$ at z=0

using Mathematica or maple gives

0

$\displaystyle \text{Residue}\left[e^{-x z} \left(\text{Log}\left[\frac{1}{z}\right]\right),\{z,0\}\right]$ ==0 and using the definition of residue

$\displaystyle \text{Limit}\left[z \left(e^{-x z} \left(\text{Log}\left[\frac{1}{z}\right]\right)\right),z\to 0\right]$ gives 0 but i think it result is wrong.

thanks any help